Is 1361 is a prime number or not ?
- As we already know that, the number having factors 1 and the number itself is the prime number.
- And numbers having more than these two factors are the composite numbers.
- To check whether the number 1361 is prime or not first we have to find its factors.
Contents
Factors of 1361:
- If we have taken numbers from 1, 2, 3…for checking factors of 1361, we found that 1361 has factors 1 and the number 1361 itself. Hence, we must say that 1361 is a prime number.
- Thus, 1361 is the prime number.
- Here, 1361 is the odd prime number.
- If we multiply 1361 by 1, 2, 3, then we get the multiples of 1361 which are 1361, 2722, 4083…and so on.
About the number 1361:
- 1361 has only two factors which are 1 and the number itself and hence 1361 is the prime number.
- 1361 is the odd prime number and it is not the perfect square also.
- If we divide 1361 by 1 and the number itself then we get remainder as zero. Hence, 1 and 1361 are the factors of 1361.
Note:
- 1361 is not the perfect square.
- Factors of 1361: 1 and 1361
- Prime factors of 1361: 1361 (since, 1361 is the only one prime number which is the factor of 1361.)
Conclusion:
- 1361 is the prime number which has factors 1 and 1361.
- And hence, 1361 is the prime number.
Multiple Choice Questions:
1) 1361 is a
a) odd number
b) Prime number
c) Composite number
d) Both a and b
Ans: d) both a and b
2) The prime factors of a prime number 1361 are
a) 1
b) 1361
c) Both a and b
d) 0
Ans: b) 1361
3) 1 is the not prime factor of 1361 because
a) It is the prime number
b) 1 is neither prime nor composite number
c) Both a and b
d) Given statement is false
Ans: b) 1 is neither prime nor composite number